So, yes Albert may well have been in New Amsterdam 1650-1653/4 - but by 16 October 1655 (before the interesting 1660 map) he was a resident of Amesfoort on Long Island, then New Utrecht, then finally Flatlands/Gravesend where he died in 1685.We don't know WHERE he was between 1638-1650, perhaps working for Stuyvesant.

You will find sources, related to the above, in the endnotes of "Early Dutch Family Ties".